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Finding the Fourth Proportional to 205,546.56, 308,315.04 and 94,738.56

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Solution

The fourth proportional to 205,546.56, 308,315.04 and 94,738.56 is: 142,105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,546.56 : 308,315.04 = 94,738.56 : x
  2. Step 2: Convert to fraction form
    205,546.56/308,315.04 = 94,738.56/x
  3. Step 3: Cross multiply
    205,546.56x = 308,315.04 × 94,738.56
  4. Step 4: Simplify right side
    205,546.56x = 29,209,322,915.94
  5. Step 5: Solve for x
    x = 29,209,322,915.94/205,546.56
  6. Step 6: Final answer
    x = 142,105.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.